Can you hold public office after filing bankruptcy?

Yes, you can still hold public office.

You’re getting this confused with not being able to vote if you are a felon.  Bankruptcy is not a crime.  Far from it, actually.  Bankruptcy is simply one of our many laws regarding debt.  
public office

I was speaking with another attorney about this last week.  There was a local election where one of the candidates had two personal bankruptcies.  The fact that he had filed bankruptcy before became an issue in his election.  It was only a County Commissioner spot, but some people questioned his bankruptcies and his qualifications to serve as a public officer.  The Provo Daily Herald ran an article “Graves wins in race for Utah County Commissioner,”

Graves beat outgoing Utah County Commissioner Gary Anderson at the Utah County Republican Party convention in the spring, and ran uncontested until August, when Graves’ personal issues with bankruptcy caused some movers and shakers in Utah County to push Freeze to run.

Graves told the Daily Herald that bankruptcy is an issue for some, but he’s answered the questions regarding his two filings.

“I’m more than willing to tell them about it. You have to be willing to be open with the public,” he said.

He also said his past has taught him to do better, and the county’s spending cannot stay at its current level.

Graves’ unclean history

I’d have to disagree with the “unclean history” characterization.  Bankruptcy stinks, but it’s not “unclean.”  Most bankruptcies I deal with are caused by market changes, loss of business, loss of jobs, and, of course, medical debts.  A bankruptcy doesn’t mean that one candidate is “unclean,” it just means that he has taken some hits and is still standing.